| Orbit of 33 Polyhymnia (1 Jan 2009) | |
| Discovery [1] | |
|---|---|
| Discovered by | J. Chacornac |
| Discovery date | 28 October 1854 |
| Designations | |
| (33) Polyhymnia | |
| Pronunciation | /pɒliˈhɪmniə/ [2] |
Named after | Polyhymnia |
| A887 HA; 1938 FE; 1953 AK; 1957 YL; 1963 DG; 1976 YT7 | |
| Main belt | |
| Orbital characteristics [3] | |
| Epoch 21 November 2025 (JD 2461000.5) | |
| Aphelion | 3.832 AU |
| Perihelion | 1.916 AU |
| 2.874 AU | |
| Eccentricity | 0.333 |
| 4.873 yr (1779.77 d) | |
| 107.070° | |
| Inclination | 1.852° |
| 8.212° | |
| 338.828° | |
| Jupiter MOID | 1.589 AU |
| TJupiter | 3.211 |
| Physical characteristics | |
| Dimensions | 54.39±11.84 km (infrared) [4] 53.98±0.91 km [5] 64±6 km (occultation) [6] |
| 18.60888±0.00029 h [7] | |
| S [3] or Sq [8] | |
| 8.55 [3] | |
33 Polyhymnia is a main belt asteroid that was discovered by French astronomer Jean Chacornac on 28 October 1854 [1] and named after Polyhymnia, the Greek Muse of sacred hymns.
Photometric observations of this asteroid at the Organ Mesa Observatory in Las Cruces, New Mexico during 2008 gave a light curve with a period of 18.609 ± 0.002 hours and a brightness variation of 0.15 ± 0.02 in magnitude. This result is in good agreement with a previous study performed during 1980. [9] These results were re-examined with additional observations in 2011, yielding a refined estimate of 18.608 ± 0.001 hours and a brightness variation of 0.18 ± 0.02 magnitude. [10] In 2020, an analysis of photometric data of Polyhymnia from 2008 to 2019 determined a more precise rotation period of 18.60888±0.00029 h. Two possible north pole orientations of Polyhymnia were also determined, with both solutions indicating an axial tilt of 151–155° (ecliptic latitudes –61° to –65°) with respect to the ecliptic. [7]
On its highly eccentric (0.338) orbit around the Sun, Polyhymnia appears brightest (apparent magnitude 10) at its minimum distance from Earth of 0.91 AU. [11] Its orbit puts it in a 22:9 mean-motion resonance with the planet Jupiter. The computed Lyapunov time for this asteroid is 10,000 years, indicating that it occupies a chaotic orbit that will change randomly over time because of gravitational perturbations of the planets. [12] Measurements of the position for this asteroid from 1854 to 1969 were used to determine the gravitational influence of Jupiter upon Polyhymnia. This yields an inverse mass ratio of 1047.341±0.011 for Jupiter relative to the Sun. [13]
In 2012, a study by Benoît Carry gave a meta-estimate of a mass of (6.20±0.74)×1018 kg for Polyhymnia, based on a single study of its gravitational influence on other Solar System bodies. [5] However, given Polyhymnia's diameter of 54 km (34 mi), this mass implies an extremely high density of 75.28±9.71 g/cm3. Such a high density is unrealistic, so this mass and density estimate of Polyhymnia was considered unreliable by Carry. [5] Several other asteroids with diameters similar to Polyhymnia were also measured to have extremely high densities in Carry's study, and were rejected for being unrealistic. [5] Because of Polyhymnia's small size, its gravitational influence on other bodies is extremely difficult to detect and may lead to highly inaccurate mass and density estimates. [5] For example, the 68 km (42 mi)-diameter asteroid 675 Ludmilla was originally measured to have a density of 73.99±15.05 g/cm3 in Carry's study, [5] but improved orbit calculations in 2019 showed that it had a much lower density of 3.99±1.94 g/cm3. [14]
No other peer-reviewed study has attempted to determine a mass and density for Polyhymnia since Carry's study, [15] though in 2023, researcher Fan Li performed a preliminary analysis of Polyhymnia's close approaches with other asteroids and determined a lower mass of (1.03±0.40)×1018 kg. [16] Depending on the diameter used for Polyhymnia, this mass estimate suggests a density of 7.5±3.6 g/cm3 or 12.4 g/cm3, for an occultation-derived diameter of 64 ± 6 km (39.8 ± 3.7 mi) and infrared-derived diameter of 54 km (34 mi), respectively. [16] [17]
Visible light spectroscopy of Polyhymnia from 1995 and 2002 show that it is an S-type asteroid, meaning it is mainly composed of rocky silicates. [3] In particular, Polyhymnia's spectrum exhibits an absorption band at 0.67 μm wavelengths, which indicates olivine and pyroxene on its surface, similar to Q-type asteroids. [8] : 155, 164–165 Since Polyhymnia shares both characteristics of S- and Q-type asteroids, it is further classified as an Sq-type asteroid according to the SMASS classification. [8] : 155, 164–165 Radio telescopes have studied Polyhymnia by radar in 1985. [18] [19]
In 2023, researchers Evan LaForge, Will Price, and Johann Rafelski speculated the possibility that Polyhymnia could be composed of high-density superheavy elements near atomic number 164, if Polyhymnia's extremely high density were correct and superheavy elements could be sufficiently stable. [20] However, as noted above, Polyhymnia very likely does not have such a high density. [16] [17]